
## 6. Critical Relations

1. #### Problem 6.1.

[Ingram, Krieger, Levy] What is the influence of critical relations on the image of Galois over a number field (Pink condition)? More specifically which sorts of critical orbit relations force infinite index for the image of Galois?
• #### Problem 6.2.

[Silverman] Bad reduction for models of critical orbit relation curves. e.g. $M_2.$

Cite this as: AimPL: The Galois theory of orbits in arithmetic dynamics, available at http://aimpl.org/galarithdyn.